{"id":"W2749417548","doi":"10.1007/s10884-017-9609-z","title":"Parameterization of Invariant Manifolds for Periodic Orbits (II): A Posteriori Analysis and Computer Assisted Error Bounds","year":2017,"lang":"en","type":"article","venue":"Journal of Dynamics and Differential Equations","topic":"Quantum chaos and dynamical systems","field":"Physics and Astronomy","cited_by":21,"is_retracted":false,"has_abstract":false,"ca_institutions":"McGill University","funders":"Division of Mathematical Sciences","keywords":"Mathematics; A priori and a posteriori; Fourier series; Taylor series; Ordinary differential equation; Mathematical proof; Computation; Invariant (physics); Manifold (fluid mechanics); Partial differential equation; Applied mathematics; Mathematical analysis; Differential equation; Algorithm; Geometry","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001882544,0.001028553,0.00101964,0.001431402,0.0006947188,0.001676988,0.001054484,0.001257866,0.003049111],"category_scores_gemma":[0.01080741,0.0006013849,0.0008127626,0.0006015134,0.001773273,0.003642758,0.002706958,0.002521155,0.0003847187],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000943088,"about_ca_system_score_gemma":0.0007726895,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001894836,"about_ca_topic_score_gemma":0.001524643,"domain_scores_codex":[0.9995547,0.0001724148,0.00002981182,0.0001202856,0.0000870525,0.000035636],"domain_scores_gemma":[0.9958758,0.002489702,0.0003953728,0.000571908,0.0004804146,0.0001868685],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0002337124,0.00007157736,0.001704116,0.0002833651,0.00008268918,0.00007992238,0.000317003,0.5158151,0.01273338,0.4168576,0.001703394,0.05011825],"study_design_scores_gemma":[0.000002952285,0.00001797594,0.0001938175,0.00001397352,0.000005960283,0.00001480137,0.00001587566,0.9489912,0.001242899,0.04910378,0.000383848,0.00001284386],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.0551202,0.0002926468,0.9418629,0.0002280518,0.00003948347,0.00003287027,0.0001208495,0.0001936141,0.002109349],"genre_scores_gemma":[0.7614542,0.0005236011,0.2320757,0.00008405234,0.00009014911,0.0001583691,0.0005042664,0.0005378444,0.004571848],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.003049111,"threshold_uncertainty_score":0.01020026,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01973897328846732,"score_gpt":0.2752636068117804,"score_spread":0.2555246335233131,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}